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Exercise 5.

Illustrative Example. Arthur bought some apples and twice as many oranges

for 78 cents. The apples cost 3 cents apiece, and the oranges 5 cents apiece.

How many of each did he buy?

Solution.

Let x = number of apples,

2x = number of oranges,

3x = cost of apples,

10x = cost of oranges.

3x + 10x = 78

13x = 78

x = 6

2x = 12

Arthur bought 6 apples and 12 oranges.

1. Mary bought some blue ribbon at 7 cents a yard, and three times as much

white ribbon at 5 cents a yard, paying $1.10 for the whole. How many

yards of each kind did she buy?

2. Twice a certain number added to ¯ve times the double of that number

gives for the sum 36. What is the number?

3. Mr. James Cobb walked a certain length of time at the rate of 4 miles an

hour, and then rode four times as long at the rate of 10 miles an hour, to

¯nish a journey of 88 miles. How long did he walk and how long did he

ride?

4. A man bought 3 books and 2 lamps for $14. The price of a lamp was twice

that of a book. What was the cost of each?

5. George bought an equal number of apples, oranges, and bananas for $1.08;

each apple cost 2 cents, each orange 4 cents, and each banana 3 cents. How

many of each did he buy?

6. I bought some 2-cent stamps and twice as many 5-cent stamps, paying for

the whole $1.44. How many stamps of each kind did I buy?

7. I bought 2 pounds of co®ee and 1 pound of tea for $1.31; the price of a

pound of tea was equal to that of 2 pounds of co®ee and 3 cents more.

What was the cost of each per pound?

8. A lady bought 2 pounds of crackers and 3 pounds of gingersnaps for $1.11.

If a pound of gingersnaps cost 7 cents more than a pound of crackers, what

was the price of each?

14

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